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Finding the Third Proportional to 171,710.50 and 377,678

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Solution

The third proportional to 171,710.50 and 377,678 is: 830,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,710.50 : 377,678 = 377,678 : x
  2. Step 2: Convert to fraction form
    171,710.50/377,678 = 377,678/x
  3. Step 3: Cross multiply
    171,710.50x = 377,678 × 377,678
  4. Step 4: Simplify right side
    171,710.50x = 142,640,671,684
  5. Step 5: Solve for x
    x = 142,640,671,684/171,710.50
  6. Step 6: Final answer
    x = 830,704.42

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.